Beginning Algebra, 11th Edition

Find the value of each exponential expression. See Example 1.

7. 
   
   
   
   8. 
      
      
      
      9. 
         
         
         
         10. 
             
             
             
             11. 
                 
             
             
             
             
         
         
         
         
      
      
      
      
   
   
   
   


8. 
   
   
   
   13. 
       
       
       
       14. 
           
           
           
           15. 
               
               
               
               16. 
                   
               
               
               
               
           
           
           
           
       
       
       
       
   
   
   
   


9. 
   
   
   
   18. 
       
       
       
       19. 
           
           
           
           20. 
               
               
               
               21. 
                   
               
               
               
               
           
           
           
           
       
       
       
       
   
   
   
   

22. 23. 24. 25. 26.

Find the value of each expression. See Examples 2 and 3.

27. 
    
    
    
    28. 
        
        
        
        29. 
            
        
        
        
        
    
    
    
    


28. 
    
    
    
    31. 
        
        
        
        32. 
            
        
        
        
        
    
    
    
    


29. 
    
    
    
    34. 
        
        
        
        35. 
            
        
        
        
        
    
    
    
    


30. 
    
    
    
    37. 
        
        
        
        38. 
            
        
        
        
        
    
    
    
    


31. 
    
    
    
    40. 
        
        
        
        41. 
            
        
        
        
        
    
    
    
    


32. 
    
    
    
    43. 
        
        
        
        44. 
            
        
        
        
        
    
    
    
    


33. 
    
    
    
    46. 
        
        
        
        47. 
            
        
        
        
        
    
    
    
    


34. 
    
    
    
    49. 
        
        
        
        50. 
            
        
        
        
        
    
    
    
    

51. 52. 53.

54. 55. 56.

First simplify both sides of each inequality. Then tell whether the given statement is trueor

false.See Examples 2– 4.

57. 
    
    
    
    58. 
        
    
    
    
    


58. 
    
    
    
    60. 
        
    
    
    
    


59. 
    
    
    
    62. 
        
    
    
    
    


60. 
    
    
    
    64. 
        
    
    
    
    


61. 
    
    
    
    66. 
        
    
    
    
    

67. 68.

69. 70.

Concept Check Insert one pair of parentheses so that the left side of each equation is equal

to the right side.

71. 
    
    
    
    72. 
        
        
        
        73. 
            
        
        
        
        
    
    
    
    


72. 
    
    
    
    75. 
        
        
        
        76. 
            
        
        
        
        
    
    
    
    

Write each statement in words and decide whether it is trueorfalse.See Examples 4 and 5.

77. 
    
    
    
    78. 
        
        
        
        79. 
            
            
            
            80. 
                
            
            
            
            
        
        
        
        
    
    
    
    


78. 7 Ú 14 82. 6 Ú 12 83. 15 ... 15 84. 21 ... 21

5617 8612 5 Z 8 6 Z 9

15 - 10 - 2 = 7 8 + 22 = 100 4 + 22 = 36

3 # 6 + 4 # 2 = 60 2 # 8 - 1 # 3 = 42 10 - 7 - 3 = 6

7 ...

318 - 32 + 214 - 12

916 - 22 - 1115 - 22

3 Ú

215 + 12 - 311 + 12

518 - 62 - 4 # 2

713 + 12 - 2

3 + 5 # 2

... 2

3 + 514 - 12

2 # 4 + 1

Ú 3

33 # 4 + 51224 # 3772 2 # 37 # 5 - 31224 ... 58

45 Ú 232 + 312 + 524 55 Ú 334 + 314 + 124

0 Ú 12 # 3 - 6 # 6 10 ... 13 # 2 - 15 # 1

5 # 11 + 2 # 3 ... 60 9 # 3 + 4 # 5 Ú 48

9 # 3 - 11 ... 16 6 # 5 - 12 ... 18

615 + 12 - 911 + 12

518 - 62 - 23

416 + 22 + 818 - 32

614 - 22 - 22

2182 - 42 + 8

29 - 33

6132 - 12 + 8

8 - 22

323111 + 32 - 44 423113 + 42 - 84

5 + 431 + 71324 533 + 412224 632 + 813324

18 - 42 + 3 22 - 23 + 9 2 + 335 + 41224

30 - 314 + 22 314 + 22 + 8 # 3 911 + 72 + 2 # 5

10 + 40 , 5 # 2 12 + 64 , 8 - 4 18 - 213 + 42

11 # 4 + 10 # 3 20 - 4 # 3 + 5 18 - 7 # 2 + 6

9 # 4 - 8 # 3

9

4

#^2

3

+

4

5

#^5

3

1

4

#^2

3

+

2

5

#^11

3

11 + 7 # 6 25.2-12.6,4.2 12.4-9.3,3.1

64 , 4 # 2 250 , 5 # 2 13 + 9 # 5

a 1 0.4 23 1 0.5 24

3

4

b

3

a

2

3

b

4

a

1

3

b

2

a

1

6

b

2

34 64 45 35

142 43 53 103 113

32 82 72 42 122

20 CHAPTER 1 The Real Number System

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